基于全纯嵌入法的三相潮流通用算法  

A General Three-phase Power Flow Algorithm Based on Holomorphic Embedding Method

作　　者：张逸[1] 蓝天 李传栋 林金榕 ZHANG Yi;LAN Tian;LI Chuandong;LIN Jinrong(College of Electrical Engineering and Automation,Fuzhou University,Fuzhou 350108,Fujian Province,China;State Grid Fujian Electric Power Research Institute,Fuzhou 350007,Fujian Province,China)

机构地区：[1]福州大学电气工程与自动化学院,福建省福州市350108 [2]国网福建省电力有限公司电力科学研究院,福建省福州市350007

出　　处：《中国电机工程学报》2024年第20期8024-8038,I0009,共16页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家自然科学基金项目(51777035);福建省自然科学基金项目(2020J01123)。

摘　　要：随着高比例新能源接入,电网三相不平衡问题日益突出,迫切需要工程适用的三相潮流算法进行分析。传统三相潮流算法存在初值依赖性强、模型复杂、计算效率较低和适用场景受限等问题。全纯嵌入法是一种解析求解非线性潮流方程的新方法,具有不依赖初值、求解过程中矩阵定常的优势。因此,该文首先基于电网三相元件模型特性,运用相序变换矩阵,构建三相潮流的全纯嵌入模型;其次,基于幂级数系数相等原则,推导模型系数的递推关系,并运用矩阵范型技术简化计算模型;然后,对零序约束方程进行解析重构,运用矩阵行列替换技术,实现不同接地方式下电网三相潮流的高效求解;最后,在IEEE 33、改造的IEEE 123及我国某区域电网系统上,验证所提方法效率高、收敛可靠且不依赖于计算初值的优势。With the high proportion of new energy access,the three-phase imbalance problem of power grid is becoming more and more prominent,and it is urgent to analyze the three-phase power flow algorithm suitable for engineering.The traditional three-phase power flow algorithm has problems such as strong initial value dependence,complex model,low computational efficiency and limited applicable scenarios.The holomorphic embedding method is a new analytical method for solving nonlinear power flow equations,which has the advantages of independent of initial values and constant matrix in the solution process.Therefore,based on the characteristics of the three-phase element model of the power grid,this paper first uses the phase sequence transformation matrix to construct the holomorphic embedding model of the three-phase power flow.Secondly,based on the principle of equal power series coefficients,the recursive relationship of model coefficients is derived,and the matrix paradigm technique is used to simplify the calculation model.Thirdly,the zero-sequence constraint equation is reconstructed analytically,and the matrix row-column replacement technology is used to realize the efficient solution of three-phase power flow under different grounding modes.Finally,the proposed method has been verified on IEEE 33,modified IEEE 123 and a regional power grid system in China,demonstrating its the advantages of high efficiency,reliable convergence and independence from the initial value of calculation.

关 键 词：三相潮流 全纯嵌入法 通用算法 矩阵范型 接地方式 

分 类 号：TM711[电气工程—电力系统及自动化]